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Let's suppose , S1 , S2 and S3 are the amounts Jim saved for the first, second, and third week correspondingly.

From statement (1) we have that S1 + S2 = 120, but the question says that S1 + S2 + S3 = 180, so S3 = -40; he lost $40 during the third week.

From the statement (2) we can construct system of equations:S1 + S2 + S3 = 80 2S1 - S2 = 03S1 - S3 = 0 How was above two equations written using the statement ?Subtracting second equation from the third gives us

Since w1+w2+w3 = 80, and w1+w2 = 120, it cannot be true that w3 = 3w1 because w3 saving is -ve and w1 is +ve.. Therefore the assumptions are self contradictory. However, I am sure "dzyubam" might have already changed the question as required.

Quote:

Jim has saved $80 in 3 weeks. How much did he save in Week 2?

1. Average savings for the first 2 weeks are $602. First week savings are half of what he saved in week 2 and a third of what he saved in week 3

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05 Feb 2009, 21:56

the next # after 324,700 to have tens digit 2 and units digit 1 is 324721, the one after that is: 324821, 324921, etc. So we see here that # w/tens digit 2 and units digit 1 comes every 100 #s. So to get the answer, we find out how many 100 #s are there btw 458,600 and 324,700:(458,600-324,700)/100=1338, 1338+1=1339 to be inclusive.So the answer is A: 1339

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06 Feb 2009, 11:08

wcgmatclub wrote:

the next # after 324,700 to have tens digit 2 and units digit 1 is 324721, the one after that is: 324821, 324921, etc. So we see here that # w/tens digit 2 and units digit 1 comes every 100 #s. So to get the answer, we find out how many 100 #s are there btw 458,600 and 324,700:(458,600-324,700)/100=1338, 1338+1=1339 to be inclusive.So the answer is A: 1339

small correction..

](458,600-324,700)/100=1339 that's the answer.. why are you adding 1
_________________

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If Jim saved a total of $90 in 3 weeks, how much did he save in week 2?

(1) Jim's average savings for the first 2 weeks were $20(2) Jim's first week's savings were half of his savings in week 2 and a third of his savings in week 3

Note that: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.

But for this question, from the first statement we get that the total savings for the first 2 weeks were $40 and from the second statement we get that the total savings for the first 2 weeks were $15+$30=$45, so the statements clearly contradict each other.

Revised question reads:

If Jim saved a total of $90 in 3 weeks, how much did he save in week 2?

Say \(S_1\), \(S_2\), and \(S_3\) are the amounts Jim saved for the first, second, and third week, respectively.

(1) Jim's average savings for the first 2 weeks were $22.5. Given: \(S_1+S_2=2*22.5=45\), not sufficient to get the value of \(S_2\).

(2) Jim's first week's savings were half of his savings in week 2 and a third of his savings in week 3. Given: \(2*S_1=S_2\) and \(3*S_1=S_3\). Since, also given that \(S_1+S_2+S_3=90\), then \(S_1+2*S_1+3*S_1=90\), which gives \(S_1=15\). Therefore \(S_2=2*S_1=30\). Sufficient..